OOIR: Observatory of International Research

Papers

(The median citation count of Advanced Nonlinear Studies is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-06-01 to 2025-06-01.)

Article	Citations
Concentration-Compactness Principle for Trudinger–Moser’s Inequalities on Riemannian Manifolds and Heisenberg Groups: A Completely Symmetrization-Free Argument	32
Sharp Trudinger–Moser Inequality and Ground State Solutions to Quasi-Linear Schrödinger Equations with Degenerate Potentials in ℝⁿ	30
Matrix weights and a maximal function with exponent 3/2	26
On Bobkov-Tanaka type spectrum for the double-phase operator	23
On certain trilinear oscillatory integral inequalities	16
An elliptic problem involving critical Choquard and singular discontinuous nonlinearity	14
Soliton resolution and channels of energy	9
Singular Finsler Double Phase Problems with Nonlinear Boundary Condition	7
Blow-Up Phenomena and Asymptotic Profiles Passing from H ¹-Critical to Super-Critical Quasilinear Schrödinger Equations	7
Sobolev extension in a simple case	6
Asymptotic behaviors of least energy solutions for weakly coupled nonlinear Schrödinger systems	4
Solitons to the Willmore flow	4
Disc stackings and their Morse index	2
Nonlocal Differential Equations with Convolution Coefficients and Applications to Fractional Calculus	2
Up-to-Boundary Pointwise Gradient Estimates for Very Singular Quasilinear Elliptic Equations with Mixed Data	2
Current perspectives on the Halo Conjecture	1
Global Schauder estimates for kinetic Kolmogorov-Fokker-Planck equations	1
The Neumann function and the L ^p Neumann problem in chord-arc domains	1
Hopf’s lemma for parabolic equations involving a generalized tempered fractional p-Laplacian	1
An example related to Whitney’s extension problem for L ^2,p (R²) when 1 < p < 2	0
A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations	0
Sharp Blow-Up Profiles of Positive Solutions for a Class of Semilinear Elliptic Problems	0
Frontmatter	0
Existence and Uniqueness of Multi-Bump Solutions for Nonlinear Schrödinger–Poisson Systems	0
Minimizing Schrödinger eigenvalues for confining potentials	0

Anisotropic ????-Laplacian Evolution of Fast Diffusion Type	0
Preface for the special issue in honor of Robert Fefferman	0
Liouville Theorems for Fractional Parabolic Equations	0
Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates	0
On the L ^p-boundedness of Calderón-Zygmund operators	0
The Poincaré–Birkhoff Theorem for a Class of Degenerate Planar Hamiltonian Systems	0
Existence of Ground States of Fractional Schrödinger Equations	0
Multiplicity of normalized solutions for nonlinear Choquard equations	0
Subharmonic Solutions of Indefinite Hamiltonian Systems via Rotation Numbers	0
Hearing exotic smooth structures	0
Local analytic integrability for a class of degenerate planar vector fields	0
Normalized solutions for nonlinear Schrödinger systems with critical exponents	0
The Moving Plane Method for Doubly Singular Elliptic Equations Involving a First-Order Term	0
Singular Trudinger–Moser inequalities for the Aharonov–Bohm magnetic field	0
Well-posedness of damped Kirchhoff-type wave equation with fractional Laplacian	0
Solutions to the coupled Schrödinger systems with steep potential well and critical exponent	0
Periodic Solutions to Klein–Gordon Systems with Linear Couplings	0
An introduction to the distorted Fourier transform	0
Convergence rates of eigenvalue problems in perforated domains: the case of small volume	0
Generalized Gaussian curvature flows related to the Orlicz Gaussian Minkowski problem	0
Frontmatter	0
Maximum Principles and ABP Estimates to Nonlocal Lane–Emden Systems and Some Consequences	0
Maximal estimates for strong arithmetic means of Fourier series	0
Well-Posedness and Uniform Decay Rates for a Nonlinear Damped Schrödinger-Type Equation	0
Existence and Convergence of Solutions to Fractional Pure Critical Exponent Problems	0